Question

$\text{In the given figure, ABCD is a}\text{parallelogram. From the given options,}\text{select the values of x}$

• A. ${45}^{\circ }$
• B. ${55}^{\circ }$
• C. ${65}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

The correct option is A ${45}^{\circ }$


We know that the opposite angles of a parallelogram are equal.

So,
$(3x-10{)}^{\circ }=(x+80{)}^{\circ }\Rightarrow 3x-x={80}^{\circ }+{10}^{\circ }\Rightarrow 2x={90}^{\circ }\Rightarrow x={45}^{\circ }$